Dissipative measure valued solutions for general conservation laws
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00524147" target="_blank" >RIV/67985840:_____/20:00524147 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.anihpc.2019.11.001" target="_blank" >https://doi.org/10.1016/j.anihpc.2019.11.001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.anihpc.2019.11.001" target="_blank" >10.1016/j.anihpc.2019.11.001</a>
Alternative languages
Result language
angličtina
Original language name
Dissipative measure valued solutions for general conservation laws
Original language description
In the last years measure-valued solutions started to be considered as a relevant notion of solutions if they satisfy the so-called measure-valued – strong uniqueness principle. This means that they coincide with a strong solution emanating from the same initial data if this strong solution exists. This property has been examined for many systems of mathematical physics, including incompressible and compressible Euler system, compressible Navier-Stokes system et al. and there are also some results concerning general hyperbolic systems. Our goal is to provide a unified framework for general systems, that would cover the most interesting cases of systems, and most importantly, we give examples of equations, for which the aspect of measure-valued – strong uniqueness has not been considered before, like incompressible magnetohydrodynamics and shallow water magnetohydrodynamics.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Annales de l'Institut Henri Poincaré. Analyse non Linéaire
ISSN
0294-1449
e-ISSN
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Volume of the periodical
37
Issue of the periodical within the volume
3
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
25
Pages from-to
683-707
UT code for WoS article
000531049800008
EID of the result in the Scopus database
2-s2.0-85084182151